What is the Greatest Common Factor of 63802 and 63816?

Greatest common factor (GCF) of 63802 and 63816 is 2.

GCF(63802,63816) = 2

We will now calculate the prime factors of 63802 and 63816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63802 and 63816.

How to find the GCF of 63802 and 63816?

We will first find the prime factorization of 63802 and 63816. After we will calculate the factors of 63802 and 63816 and find the biggest common factor number .

Step-1: Prime Factorization of 63802

Prime factors of 63802 are 2, 19, 23, 73. Prime factorization of 63802 in exponential form is:

63802 = 2¹ × 19¹ × 23¹ × 73¹

Step-2: Prime Factorization of 63816

Prime factors of 63816 are 2, 3, 2659. Prime factorization of 63816 in exponential form is:

63816 = 2³ × 3¹ × 2659¹

Step-3: Factors of 63802

List of positive integer factors of 63802 that divides 63802 without a remainder.

1, 2, 19, 23, 38, 46, 73, 146, 437, 874, 1387, 1679, 2774, 3358, 31901

Step-4: Factors of 63816

List of positive integer factors of 63816 that divides 63802 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2659, 5318, 7977, 10636, 15954, 21272, 31908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63802 and 63816. The biggest common factor number is the GCF number.
So the greatest common factor 63802 and 63816 is 2.

Also check out the Least Common Multiple of 63802 and 63816